# Percentage Calculations

Want to find a percent of a number? You can calculate percentages in a few simple and easy steps.

## Step by step guide to solve percentage problems

• Percent is a ratio of a number and $$100$$. It always has the same denominator, $$100$$. The percent symbol is $$\%$$.
• Percent is another way to write decimals or fractions. For example:
$$40\%=0.40=\frac{40}{100}=\frac{2}{5}$$
• Use the following formula to find part, whole, or percent:
$$\color{blue}{part =\frac{percent}{100} \ × \ whole }$$

### Example 1:

What is $$15\%$$ of $$50$$?

Solution:

Use the this formula: $$\color{ blue }{part =\frac{percent}{100} \ × \ whole }$$.
part $$=\frac{15}{100} \ × \ 50 →$$ part $$=\frac{15 \ × \ 50}{100}→$$ part $$=\frac{75}{10}→$$ part $$=7.5$$

### Example 2:

What is $$30\%$$ of $$35$$?

Solution:

Use the this formula: $$\color{ blue }{part =\frac{percent}{100} \ × \ whole }$$.
part $$=\frac{30}{100} \ × \ 35 →$$ part $$=\frac{105}{10}→$$ part $$=10.5$$

### Example 3:

What is $$10\%$$ of $$45$$?

Solution:

Use the this formula: $$\color{ blue }{part =\frac{percent}{100} \ × \ whole }$$.
part $$=\frac{10}{100}×45 →part=\frac{1}{10}×45→part=\frac{45}{10}→$$ part $$=4.5$$

### Example 4:

What is $$15\%$$ of $$24$$?

Solution:

Use the percent formula: $$\color{ blue }{part =\frac{percent}{100} \ × \ whole }$$.
part $$=\frac{15}{100}×24 →$$ part $$=\frac{360}{100} →$$ part $$=3.6$$

## Exercises

### Calculate the percentages.

• $$\color{blue}{50\% \ of \ 25}$$
• $$\color{blue}{ 80\% \ of \ 15 }$$
• $$\color{blue}{ 30\% \ of \ 34 }$$
• $$\color{blue}{ 70\% \ of \ 45 }$$
• $$\color{blue}{ 10\% \ of \ 0 }$$
• $$\color{blue}{ 80\% \ of \ 22 }$$

• $$\color{blue}{12.5}$$
• $$\color{blue}{12}$$
• $$\color{blue}{10.2}$$
• $$\color{blue}{31.5}$$
• $$\color{blue}{0}$$
• $$\color{blue}{17.6}$$